A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 38
... beginning ( or principle ) of number . According to Iamblichus , Thymaridas ( an ancient Pythagorean ) defined the unit as ' limiting quan- tity ' ( Teрaívovσа поσóтηs ) or , as we might say , ' limit of fewness ' , while some ...
... beginning ( or principle ) of number . According to Iamblichus , Thymaridas ( an ancient Pythagorean ) defined the unit as ' limiting quan- tity ' ( Teрaívovσа поσóтηs ) or , as we might say , ' limit of fewness ' , while some ...
Pagina 63
... beginning with 3 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , 17 , 19 , 21 , 23 , 25. ... Now 3 is a prime number , but multiples of it are not ; the multiples forming part of the series , namely 9 , 15 , 21 . . . are obtained by passing over two ...
... beginning with 3 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , 17 , 19 , 21 , 23 , 25. ... Now 3 is a prime number , but multiples of it are not ; the multiples forming part of the series , namely 9 , 15 , 21 . . . are obtained by passing over two ...
Pagina 175
... beginning of a line , and often using the term ' indivisible line ' in the same sense . Aristotle rejoins that even indivisible lines must have extremities and therefore do not help , while the defini- tion of a point as the beginning ...
... beginning of a line , and often using the term ' indivisible line ' in the same sense . Aristotle rejoins that even indivisible lines must have extremities and therefore do not help , while the defini- tion of a point as the beginning ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole